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Combine the like terms to create an equivalent expression: -n+(-4)-(-4n)+6

Combine the like terms to create an equivalent expression:\newline−n+(−4)−(−4n)+6-n+(-4)-(-4n)+6

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Simplify variable expressions involving like terms and the distributive propertyright chevron icon

Full solution

Q. Combine the like terms to create an equivalent expression:\newline−n+(−4)−(−4n)+6-n+(-4)-(-4n)+6
  1. Identify and group like terms: Identify and group like terms in the expression −n+(−4)−(−4n)+6-n + (-4) - (-4n) + 6.\newlineLike terms are terms that contain the same variable raised to the same power. In this case, −n-n and −(−4n)-(-4n) are like terms, while −4-4 and +6+6 are like terms.\newlineGrouping like terms: (−n−(−4n))+(−4+6)(-n - (-4n)) + (-4 + 6)
  2. Simplify grouped like terms: Simplify the grouped like terms.\newlineFirst, simplify the variable terms: −n−(−4n)-n - (-4n) becomes −n+4n-n + 4n because subtracting a negative is the same as adding a positive.\newlineNow, combine the variable terms: −n+4n=3n-n + 4n = 3n\newlineNext, simplify the constant terms: −4+6=2-4 + 6 = 2
  3. Combine simplified like terms: Combine the simplified like terms to form the equivalent expression.\newlineThe equivalent expression is 3n+23n + 2.

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